FOR COMMON SCHOOLS AND ACADEMIES

PART FIRST is a work on MENTAL ARITHMETIC. The philosophy of the mode of teaching edopted in this work, is: commence where the child commences, and proceed as the child proseeds : fall in with his own mode of arriving at truth; aid him to think for himself, and do not the thinking for him. Hence a series of exercises are given, by which the child is made familiar with the process, which he has already gone through with in acquiring his present knowledge. These exercises interest the child, and prepare him for future rapid progress. The plan is se clearly unfolded by illustration and example, that he who follows it can scarcely fail to secure on the part of his pupils, a thorough knowledge of the subject.

PART SECOND is a work on WRITTEN ARITHMETIC. It is the result of a long experience m teaching, and contains sufficient of Arithmetic for the practical business purposes of life. It illustrates mo~e fully and applies more extendedly and practically the principle of Cancellauor than any other Arithmetical treatise. This method as here employed in connection with the or. dinary, furnishes a variety of illustrations, which cannot fail to interest and instruct the scholar. It is a prominent idea throughout, to impress upon the mind of the scholar the truth that he wil. never discover, nor need a new principle beyond the simple rules. The pupil is shown. by à variety of new modes of illustration, that new names and new positions introduce no new prm ciple, but that they are merely matters of convenience. Fractions are trea.ed and explained the game as whole numbers. Formulas are also given for drilling the scholar upon the Blackboard, which will be found of service to many teachers of Common Schools.

Guglish.